101056431300 has 216 divisors, whose sum is σ = 327839329440. Its totient is φ = 23835340800.

The previous prime is 101056431253. The next prime is 101056431323. The reversal of 101056431300 is 3134650101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4506516 + ... + 4528884.

Almost surely, 2^101056431300 is an apocalyptic number.

101056431300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101056431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163919664720).

101056431300 is an abundant number, since it is smaller than the sum of its proper divisors (226782898140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101056431300 is a wasteful number, since it uses less digits than its factorization.

101056431300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22471 (or 22427 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 101056431300 in words is "one hundred one billion, fifty-six million, four hundred thirty-one thousand, three hundred".